graphs and coordinates Flashcards
1
Q
how to find a mid point
A
[(x1+x2)/2 , (y1+y2)/2]
2
Q
how to find gradient
A
m = change in y/change in x
3
Q
if line 1 and line 2 are percpenticular to each other then
A
m1= -1/m2
4
Q
equation of line
A
y-y1 = m(x-x1)
5
Q
discriminate
A
b^2 - 4ac
6
Q
b^2 - 4ac>0
A
2 roots
7
Q
b^2 - 4ac=0
A
1 repeated root
8
Q
b^2 - 4ac<0
A
no real roots
9
Q
eqaution of cirlce
A
(x-a)^2 + (y-b)^2 =r^2
where centre is (a,b) and raduis is r
10
Q
sine graph when x=0
A
y=0
11
Q
cosine graph when x=0
A
y=1
12
Q
tangent graph when x=0
A
y=0
13
Q
tranformation f(x) +a
A
(0)
(a)
14
Q
tranformation af(x)
A
stretch in y direction by scale factor a
15
Q
tranformation f(x+a)
A
(-a)
(0)
